Dirac spinons intermingled with singlet states in the random kagome antiferromagnet <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>YCu</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>OD</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> <mml:mo>+</mml:mo> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> <mml:msub> <mml:mi>Br</mml:mi> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>−</mml:mo> <mml:mi>x</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>x</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0.5</mml:mn> </mml:mrow> </mml:math> )
Bibliographic record
Abstract
We elucidate the ground state nature and low-energy spin dynamics of the $s=1/2$ near-perfect kagome antiferromagnet ${\mathrm{YCu}}_{3}{(\mathrm{OD})}_{6+x}{\mathrm{Br}}_{3\ensuremath{-}x}$ ($x=0.5$) using $^{63}\mathrm{Cu}$ nuclear quadrupole resonance (NQR) and muon spin relaxation/rotation ($\ensuremath{\mu}\mathrm{SR}$) techniques. Our combined $^{63}\mathrm{Cu}$ NQR and $\ensuremath{\mu}\mathrm{SR}$ data, along with the inverse Laplace transform analysis, reveal an inhomogeneous ground state comprising the majority of a gapless spin liquid intermingled with a minor fraction of spin singlets with varying energy gaps. Furthermore, the $^{63}\mathrm{Cu}$ NQR relaxation rate evinces distinct signatures of Dirac spinons, featuring a power-law dependence of $1/{T}_{1}\ensuremath{\sim}{T}^{\ensuremath{\eta}}$ with $\ensuremath{\eta}=1.35$ at temperatures below $0.13J$ ($\ensuremath{\cong}8\phantom{\rule{0.28em}{0ex}}\mathrm{K}$). Our results demonstrate that a kagome lattice endowed with specific exchange randomness provides a prominent platform for exploring Dirac fermions in magnetic insulators.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.011 | 0.008 |
| Meta-epidemiology (narrow) | 0.007 | 0.013 |
| Meta-epidemiology (broad) | 0.003 | 0.014 |
| Bibliometrics | 0.003 | 0.010 |
| Science and technology studies | 0.008 | 0.011 |
| Scholarly communication | 0.010 | 0.010 |
| Open science | 0.015 | 0.013 |
| Research integrity | 0.010 | 0.013 |
| Insufficient payload (model declined to judge) | 0.465 | 0.015 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".